Description: This paper develops a general approach to actuarial calculations in applications that can be modeled as multi-state processes. Such situations arise when benefits are payable upon a change in the status of the insured or while the insured maintains a given status. From the Transactions of Society of Actuaries 1994, Vol. 46.

Description: The authors set forth a generalized model describing the application of current law [1976 NAIC model Standard Valuation Law and Standard Nonforfeiture Law] to products of the universal life type. Includes discussion and author’s review of discussion. From Transactions of Society of Actuaries 1983 Volume 35.

Description: This paper is from Transactions of Society of Actuaries 1955 Volume 7, Number 17. The author notes that in mortality studies the ‘natural’ unit for exposures and deaths is number of lives, but often more insight is gained by use of other weights, such as face amount. In this paper, the author develops a method which, ‘by a combination of exposed to risk formulas, provides a comparatively simple procedure to permit consideration of weights which vary during the observation period.’

Description: This paper presents a parsimonious 11-parameter model that explains the pattern of mortality for the female and male mortality rates of the 1975–80 Select and Ultimate Basic Tables. This parametric model is useful because it can predict the select mortality rates beyond the 15-year select period and because it can predict the select rates for issue ages greater than 70 years old. From the Transactions of Society of Actuaries 1994, Vol. 46.

Description: This paper adopts the framework whereby pension benefits are allocated one exit point at a time in some fashion to the years of service of those persons expected to leave at each exit point. Of particular interest is an allocation by interest-adjusted salary. From the Transactions of Society of Actuaries 1994, Vol. 46.

Description: In this paper, the author studies the ‘applications of the integer functions, ceiling and floor, to life contingencies. Various actuarial formulas are derived by applying a theorem of the mean value type for integrals and uniform distribution of deaths assumptions.’ Includes discussion and author’s review of discussion. From Transactions of Society of Actuaries 1982 Volume 34.

Description: This paper shows that the Esscher transform is an efficient technique for valuing derivative securities if the logarithms of the prices of the primitive securities are governed by certain stochastic processes with stationary and independent increments. From the Transactions of Society of Actuaries 1994, Vol. 46.

Description: This paper sets out, in algorithm form, a one-factor term structure model of interest rates and illustrates the application of such a model to the valuation of loans with prepayment provisions. From the Transactions of Society of Actuaries 1994, Vol. 46.